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Finding the Fourth Proportional to 502.26, 749.43 and 447.45

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Solution

The fourth proportional to 502.26, 749.43 and 447.45 is: 667.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.26 : 749.43 = 447.45 : x
  2. Step 2: Convert to fraction form
    502.26/749.43 = 447.45/x
  3. Step 3: Cross multiply
    502.26x = 749.43 × 447.45
  4. Step 4: Simplify right side
    502.26x = 335,326.47
  5. Step 5: Solve for x
    x = 335,326.47/502.26
  6. Step 6: Final answer
    x = 667.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.